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Finding the Third Proportional to 37,941.75 and 55,682.44

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Solution

The third proportional to 37,941.75 and 55,682.44 is: 81,718.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,941.75 : 55,682.44 = 55,682.44 : x
  2. Step 2: Convert to fraction form
    37,941.75/55,682.44 = 55,682.44/x
  3. Step 3: Cross multiply
    37,941.75x = 55,682.44 × 55,682.44
  4. Step 4: Simplify right side
    37,941.75x = 3,100,533,845.94
  5. Step 5: Solve for x
    x = 3,100,533,845.94/37,941.75
  6. Step 6: Final answer
    x = 81,718.26

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.